PHYS08200604018 Shamik Banerjee - Homi Bhabha National ...

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104 BIBLIOGRAPHY [79] D. Shih, A. Strominger and X. Yin, “Counting dyons in N = 8 string theory,” JHEP 0606, 037 (2006) [arXiv:hep-th/0506151]. [80] J. Maharana and J. H. Schwarz, “Noncompact symmetries in string theory,” Nucl. Phys. B 390 (1993) 3 [arXiv:hep-th/9207016]. [81] A. Sen, “Strong - weak coupling duality in four-dimensional string theory,” Int. J. Mod. Phys. A 9, 3707 (1994) [arXiv:hep-th/9402002]. [82] D. J. Gross and M. J. Perry, “Magnetic Monopoles In Kaluza-Klein Theories,” Nucl. Phys. B 226, 29 (1983). [83] R. d. Sorkin, “Kaluza-Klein Monopole,” Phys. Rev. Lett. 51, 87 (1983). [84] <strong>Shamik</strong> <strong>Banerjee</strong>, Ashoke Sen, Yogesh K. Srivastava ”Genus Two Surface and Quarter BPS Dyons: The Contour Prescription” JHEP 0903:151,2009, arXiv:0808.1746 [hep-th] [85] Atish Dabholkar,Joao Gomes, Sameer Murthy, ”Counting all dyons in N =4 string theory”. arXiv:0803.2692 [hep-th]
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Counting Microscopic Degeneracy of
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Declaration This thesis is a presen
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Acknowledgments Firstly I would lik
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Synopsis Black Holes are classical
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proposed formula reproduces the kno
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Contents 1 Introduction 1 1.1 Broad
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Chapter 1 Introduction Einstein pro
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1.2. D BRANES 3 specific class of s
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1.3. BRIEF INTRODUCTION TO E 8 × E
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1.4. DEGENERACY OF QUARTER-BPS DYON
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1.5. MOTIVATION AND A BRIEF REVIEW
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Chapter 2 Duality orbits, dyon spec
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2.2. T-DUALITY ORBITS OF DYON CHARG
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2.3. AN ALTERNATIVE PROOF 19 Q and
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2.4. PREDICTIONS FOR GAUGE THEORY 2
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2.4. PREDICTIONS FOR GAUGE THEORY 2
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Chapter 3 S-duality Action on Discr
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This proves the desired result. Nex
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For appropriate choice of (α, β,
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Chapter 4 Generalities of Quarter B
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may not be convergent in another re
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35 where Λ is a large positive num
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equiring that we reproduce the blac
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4.1. THE DYON PARTITION FUNCTION 39
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4.2. CONSEQUENCES OF S-DUALITY SYMM
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4.3. CONSTRAINTS FROM WALL CROSSING
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4.5. EXAMPLES 51 Here k is the same
Page 75 and 76: 4.5. EXAMPLES 53 Next we turn to th
Page 77 and 78: 4.5. EXAMPLES 55 Let us determine t
Page 79 and 80: 4.5. EXAMPLES 57 We shall now set a
Page 81 and 82: 4.5. EXAMPLES 59 uncorrelated and c
Page 83 and 84: 4.5. EXAMPLES 61 is an integer. Sin
Page 85 and 86: 4.5. EXAMPLES 63 1 ((Q−P 2 )/2)2
Page 87 and 88: 4.5. EXAMPLES 65 Finally we turn to
Page 89 and 90: 4.5. EXAMPLES 67 IIB description of
Page 91 and 92: 4.5. EXAMPLES 69 Note that Q and P
Page 93 and 94: 4.5. EXAMPLES 71 On the other hand
Page 95 and 96: 4.6. A PROPOSAL FOR THE PARTITION F
Page 103 and 104: 4.7. REVERSE APPLICATIONS 81 Thus i
Page 105 and 106: 4.7. REVERSE APPLICATIONS 83 For th
Page 107 and 108: Chapter 5 Partition Functions of To
Page 109 and 110: crossing formula for decay into a p
Page 111 and 112: 89 As a consequence of (5.0.19) and
Page 113 and 114: 91 In the primed variables the desi
Page 115 and 116: Furthermore, in order to reproduce
Page 117 and 118: The spectrum in gauge theory contai
Page 119 and 120: Chapter 6 Concluding Remarks Comple
Page 121 and 122: Bibliography [1] J.Polchinski ”Di
Page 123 and 124: BIBLIOGRAPHY 101 [30] M. Stern and
Page 125: BIBLIOGRAPHY 103 [63] S. Banerjee a
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